Chapter 9, Problem 9CR

To determine

To fill-up: the value of $m\stackrel{⌢}{XY}$ if $m\angle XPY=100°$

Answer to Problem 9CR

The value of $m\widehat{XY}=100°$

Explanation of Solution

Given information:

The system information is: $\overleftrightarrow{ZX}$ and $\overleftrightarrow{ZY}$ are tangent to $\odot P$

  $m\angle XPY=100$

System image:

  

Calculation:

Consider the figure

In the diagram, it is given that;

  $\begin{array}{l}m\angle XPY=100,\text{then}\\ m\overline{XY}=m\angle XPY\times \text{radius}\\ =100\times 1\\ =100\end{array}$

Hence the value of the $m\widehat{XY}=100$